I think the problem is your phone / computer. It's telling the site your visiting everything it needs to know.

Whether the site bothers to enquire is what I was discussing in my post. Some sites are incentivised to believe your lies, others are not.

For the ones that are not, they can either find out all the information they need, or simply block you for not being honest in the first place.

Your VPN, is doing nothing worthwhile unless you are using it to connect to your home / office or view regionally locked content on sites that are deliberately oblivious to your dishonesty